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Different forms of energy - class-XI

Description: different forms of energy
Number of Questions: 88
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Tags: work, energy and power energy transformations and energy transfers the essence of change physics
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A helicopter takes off from the ground and rises vertically. It then hovers at a constant height
above the ground.
Which sequence of energy changes takes place during the gain in height?

  1. $Chemical \rightarrow gravitational\ potential\rightarrow kinetic$

  2. $Chemical \rightarrow kinetic \rightarrow gravitational\ potential$

  3. $Gravitational\ potential \rightarrow chemical \rightarrow kinetic$

  4. $Kinetic \rightarrow chemical \rightarrow gravitational\ potential$


Correct Option: B
Explanation:

First the fuel in the engine gives chemical energy during burning. That chemical energy then converts to kinetic energy if the rotor of blades of the helicopter. Then kinetic energy converts in gravitational potential energy as it gains height.

The plants trap solar energy in the form of :

  1. physical energy

  2. chemical energy

  3. heat energy

  4. light energy


Correct Option: B
Explanation:

When sunlight falls on plant, some of the energy is trapped through
photosynthesis and is stored in the form of chemical energy which helps the plants to prepare their own food.

Identify the energy changes in the following cases
$A$: A car moving up a hill.
$B$: Photographic film is exposed to sun-light.

  1. In $'A'$ mechanical energy in moving car is converted to kinetic energy and in $'B'$ potential energy is converted to chemical energy.

  2. In $'A'$ potential energy in moving car is converted to kinetic energy and in $'B'$ chemical energy is converted to light energy.

  3. In $'A'$ kinetic energy in moving car is converted to potential energy and in $'B'$ potential energy is converted to light energy.

  4. In $'A'$ kinetic energy in moving car is converted to potential energy and in $'B'$ light energy is converted to chemical energy.


Correct Option: D
Explanation:

$A$: A car moving up a hill.
Moving car has kinetic energy, kinetic energy gets converted to potential energy as it gains height $(h)$.
And potential energy $=mgh$
$B$: Photographic film is exposed to sun -light.
When photographic film is exposed to Sun the silver bromide present in it decomposes, such that the film cannot be developed, here the light energy changes to chemical energy.

What are the various energy transformations that occur when you are riding a bicycle ?

  1. Muscular energy to kinetic and heat energy

  2. Mechanical energy to chemical and light energy

  3. Chemical energy to Internal energy

  4. Rotational energy to muscular energy


Correct Option: A
Explanation:

While riding a bicycle,the muscular energy of the rider gets transferred to heat energy and kinetic energy of the bicycle.Heat energy heats the rider's body.Kinetic energy provides a velocity to the bicycle to move in rotation.The transformation can be shown as:
Muscular energy$=$kinetic energy+heat energy
During transformation,the total energy remains conserved.

A ball falls freely under gravity from rest. Name the kind of energy it will possess on reaching the ground.

  1. Potential energy

  2. Kinetic energy

  3. Heat energy

  4. None of the above


Correct Option: B
Explanation:

After reaching the ground it will not have any height from the ground hence no potential energy as it is defined as virtue of state of its position where as it has velocity by which it can be said that kinetic energy exists as it is defined by virtue of state of its motion.While falling potential energy keeps on changing in kinetic energy and on reaching the ground all potential energy changes to kinetic energy.Hence there exists only kinetic energy.

As the water stored in the reservoir of a dam flows out, its potential energy changes to :

  1. magnetic energy

  2. light energy

  3. kinetic energy

  4. heat energy


Correct Option: C
Explanation:


The potential energy stored in a reservoir at a given height is converted to kinetic energy (movement energy) which is used to turn a turbine and produce electricity.
Hence, as the water stored in the dam flows out, its potential energy changes to kinetic energy.

A battery lights a bulb. The electric energy on flowing through the filament of the bulb, first changes into ______ energy and then into the _______ energy.

  1. heat; light

  2. light; heat

  3. mechanical; heat

  4. mechanical; light


Correct Option: A
Explanation:

Within the electric cell or battery, the chemical energy changes into electrical energy. The electric energy on flowing through the filament of the bulb, first changes into heat energy and then into the light energy.

A metal ball of mass $2kg$ is allowed to fall freely from rest from a height of $5m$ above the ground (Take $g=10ms^{-2}$). After the ball hits the ground and comes to rest, mechanical energy is converted to:

  1. heat energy

  2. sound energy

  3. electrical energy

  4. Both A & B


Correct Option: D
Explanation:

When ball is at rest it will have only P.E that is
$P.E = mgh$


$m = 2\  kg; h = 5\  m$

$P.E = 2\times 10\times 5 = 100 J$

This is the total energy as K.E is zero when ball is at maximum height that is when it is at 5m. Hence when ball reaches the ground P.E becomes zero  because height is zero. At this point total energy is equal to K.E that is $K.E = 100 J$.

This $100\  J$ will convert to heat and sound energy as the ball comes to rest.

State whether the given statement is True or False :

A freely falling object eventually stops on reaching the ground. A part of the kinetic energy on reaching the ground changes into heat energy.

  1. True

  2. False


Correct Option: A
Explanation:

The kinetic energy on reaching the ground changes into heat energy, sound energy, etc. and therefore gets dissipated to the ground and air.

Iron glows in red colour when it is heated to very high temperature because:

  1. Heat we supply consumes red colour at high temperature

  2. Mechanical energy is being converted into heat energy

  3. Light energy is being converted into heat energy

  4. Heat energy is being converted into light energy


Correct Option: D
Explanation:

Iron glows in red colour when it is heated to very high temperature because heat being a form of energy can be transformed into other forms of energy.

A moving coin hits another coin and sets it into motion.In this case energy from the moving coin is ---- to the other coin:

  1. Flown

  2. Taken

  3. Not transferred

  4. Transferred


Correct Option: D
Explanation:

The moving coin has kinetic energy initially, after hitting the other coin it transfers its kinetic energy to the other coin and sets it in motion.(In reality some part of energy is also lost as heat energy)

When a stone is thrown upwards:

  1. Kinetic energy increases and Potential energy decreases

  2. both Kinetic energy and Potential energy increase

  3. Kinetic energy decreases and Potential energy increases

  4. both remain constant


Correct Option: C
Explanation:

When a stone is thrown upwards, its velocity decreases and height increases. 

$K.E. = \dfrac{1}{2}{ mv }^{ 2 }$
$P.E. = mgh$
Thus, its kinetic energy decreases and potential energy increases.

In which of the following, chemical energy is converted into heat energy?

  1. Heater

  2. Refrigerator

  3. Candle

  4. Motor


Correct Option: C
Explanation:

The chemical present in the candle burns with oxygen to give out heat.

Which of the following statement is NOT true?

  1. State of rest of a body is same as the state of zero speed

  2. Human body converts chemical energy into muscular energy

  3. Water in river flows down due to its kinetic energy

  4. Liquids exert pressure on the walls of the container


Correct Option: C
Explanation:

Option C is not correct because river flows down due to its gravitational potential energy.

In steam engine:

  1. Mechanical energy is converted to heat energy

  2. Heat energy is converted to mechanical energy

  3. Heat energy is converted to electrical energy

  4. Heat energy is converted to chemical energy


Correct Option: B
Explanation:

Heat is used to generate steam which moves the pistons and thereby converting heat energy to mechanical energy.

A tube light converts electrical energy into :

  1. Chemical energy

  2. Magnetic energy

  3. Light energy

  4. Mechanical energy-


Correct Option: C
Explanation:

A tube light converts $Electrical  \ energy$ to $Light  \ Energy$.

The device / machine which converts chemical energy into electrical energy is

  1. Electric bulb

  2. Electric motor

  3. Battery

  4. Solar cell


Correct Option: C
Explanation:

Option A: Electrical bulb converts electrical energy into heat.

Option B: electrical motor converts electrical energy in mechanical energy.
Option C : battery converts chemical emergy into electrical energy.
Option D: solar cell converts light (using photons) into electrical energy.
So best possible answer is option C.

Which of the following statements is correct?

  1. Kinetic energy of a system can be changed without changing the momentum

  2. Kinetic energy of a system cannot be changed without changing its momentum

  3. Momentum of a system cannot be changed without changing its kinetic energy

  4. A system cannot have energy without having momentum


Correct Option: A
Explanation:

Answer is A

Momentum is a vector quantity while K.E is a scalar quantity ,we can change velocity in such a way momentum remains same but K.E changes .

A solar water heater converts

  1. Light energy into heat energy

  2. Heat energy into light energy

  3. Chemical energy into heat energy

  4. Light energy into electrical energy


Correct Option: A
Explanation:

Solar heater absorbs light, and thus photons of light are absorbed and the energy contained in them is converted to heat energy, which raises the temperature of water flowing slowly in contact with the plate and thus heat energy is transfered from plate to water.

Hence a solar heater converts light energy into heat energy.
Option A.

The temperature of water at the bottom of a waterfall is higher than that of the water at the top, because:

  1. falling water absorbs heat from the sun.

  2. kinetic energy of the falling water is converted into heat.

  3. water at the bottom has greater potential energy.

  4. the rocks on the river bed give out heat.


Correct Option: B
Explanation:

When water is flowing it posses some kinetic energy and also posses some potential energy wrt to the lower level of the waterfall.

When water fall from higher level its potential energy gets converted to kinetic energy and when water reaches to lower level some part of its kinetic energy gets converted to sound energy amd some to heat energy.
So best possible option is option B.

Burning of a meteorite in the earth's atmosphere is an example of change of :

  1. heat energy into kinetic energy

  2. kinetic energy into heat energy

  3. kinetic energy into potential energy

  4. potential energy into heat energy


Correct Option: B
Explanation:

A meteorite has both potential and kinetic energy before entering earth's atmosphere. As it enters and fall towards the surface of earth, frictional heating occurs which is caused by collision with the molecules in the atmosphere which reduces its velocity. Hence the kinetic energy decreases, which is converted into heat energy. Potential energy is continuously decreasing being converted to kinetic energy.

When fuels are burnt, chemical energy changes into:

  1. kinetic and potential energy

  2. solar energy

  3. heat and light energy

  4. nuclear energy


Correct Option: C
Explanation:

Fuels contain chemical energy stored in them. When fuels are burnt, the chemical energy changes into heat and light energy.

A ball is placed on a compressed spring. On releasing the spring, the ball flies away. Then which of the following is true?

  1. The ball creates its own kinetic energy

  2. Elastic potential energy of the spring is destroyed and kinetic energy of the ball is created

  3. Potential energy of the ball is destroyed and kinetic energy of the spring is created

  4. Elastic potential energy of the spring gets converted into kinetic energy of the ball


Correct Option: D
Explanation:

Work is done on the spring to compress it. This work is stored in the spring in the form of its elastic potential energy. When the spring is released, its elastic potential energy gets transformed into the kinetic energy of the ball and the ball flies away.

Which of the following devices converts electrical energy into heat energy?

  1. A dynamo

  2. An electric iron

  3. A loud speaker

  4. A thermocouple


Correct Option: B
Explanation:

An electric iron converts electrical energy into heat energy.

Buming of a meteorite in the Earth's atmosphere is an example of change of:

  1. heat energy into kinetic energy

  2. kinetic energy into heat energy

  3. kinetic energy into potential energy

  4. potential energy into heat energy


Correct Option: B
Explanation:

when meteorite falls its potential energy is converting into kinetic energy and when it enters earth atmosphere due to air friction its kinetic energy is reduced but potential energy is also decreasing as its height is decreasing , so we can conclude that its first potential energy converts to kinetic energy and then kinetic energy converts to heat energy.

so best possible answer is option B.

A generator is an arrangement which converts _________ energy into _________ energy.

  1. mechanical, electrical

  2. mechanical, chemical

  3. potential, electrical

  4. electrical, chemical


Correct Option: A
Explanation:

 A generator converts mechanical energy into electrical energy.  Generator works due to this because of electromagnetic induction generated due to this conversion of energy. Also magnetic field is produced which results in generation of voltage that helps the generator to function.

A motor converts:

  1. electrical energy into mechanical energy

  2. mechanical energy into electrical energy

  3. electrical energy into heat energy

  4. heat energy into electrical energy


Correct Option: A
Explanation:

A motor converts electrical energy into mechanical energy.

In which of the following chemical energy is converted into heat energy?

  1. Heater

  2. Cooler

  3. Motor

  4. Candle


Correct Option: D

During photosynthesis, green plants convert:

  1. chemical energy into light energy

  2. light energy into chemical energy

  3. light energy into mechanical energy

  4. light energy into muscular energy


Correct Option: B
Explanation:

During photosynthesis, green plants convert light energy into chemical energy stored in the form of food.

Which of the following devices convert light energy into electrical energy?

  1. An electric bulb

  2. A photocell

  3. A microphone

  4. A dynamo


Correct Option: B
Explanation:

A photocell gives out electric current when light is incident on it. So, it converts light energy into electrical energy.

Which of the following devices does not convert electrical energy into sound energy?

  1. A loud speaker

  2. A microphone

  3. A buzzer

  4. An electric bell


Correct Option: B
Explanation:

A microphone converts sound energy into electrical energy. All other devices mentioned convert electrical energy into sound energy.

A battery, left idle (i.e., not in use):

  1. converts chemical energy into electrical energy

  2. converts electrical energy into chemical energy

  3. converts electrical energy into light energy

  4. does no energy conversions


Correct Option: D
Explanation:

When a battery is not in use, it does not give out electric current. So, the chemical energy stored in it does not get converted.

A running car converts:

  1. chemical energy into mechanical energy

  2. mechanical energy into chemical energy

  3. potential energy into kinetic energy

  4. no energy


Correct Option: A
Explanation:

A running car burns fuel and thus moves. So, it converts chemical energy into mechanical energy.

By charging a battery, we convert electrical energy into

  1. heat energy

  2. chemical energy

  3. magnetic energy

  4. mechanical energy


Correct Option: B
Explanation:

By charging a battery, we convert electrical energy into chemical energy. A battery, on the contrary, in use, converts chemical energy into electrical energy.

A loud speaker converts:

  1. electrical energy into sound energy

  2. sound energy into electrical energy

  3. mechanical energy into sound energy

  4. sound energy into mechanical energy


Correct Option: A
Explanation:

A loud speaker converts electrical energy into sound energy.

In the moving parts of a machine:

  1. heat energy gets transformed into mechanical energy

  2. kinetic energy gets transformed into potential energy

  3. mechanical energy gets transformed into heat energy

  4. no energy transformation takes place


Correct Option: C
Explanation:

The moving parts of a machine get heated due to friction, thus changing a part of mechanical energy into heat energy.

A thermocouple converts:

  1. mechanical energy into electrical energy

  2. sound energy into electrical energy

  3. electrical energy into heat energy

  4. heat energy into electrical energy


Correct Option: D
Explanation:

A thermocouple converts heat energy into electrical energy.

What are the various energy transformations that occur when you are riding bicycle?

  1. Muscular $\rightarrow$ Kinetic $\rightarrow$ Heat

  2. Potential $\rightarrow$ Kinetic $\rightarrow$ Heat

  3. Kinetic $\rightarrow$ Heat $\rightarrow$ Sound

  4. None


Correct Option: A
Explanation:

While paddling a bicycle muscular energy converted to kinetic energy as the bicycle moves.Rotation of wheel create friction causing loss of kinetic energy in the form of heat.

If $1kg$ of a substance is fully converted into energy , then the energy produced is  

  1. $9 \times 10^{16}J$

  2. $9 \times 10^{24}J$

  3. $1J$

  4. $3 \times 10^{8}J$


Correct Option: A

An anti-aircraft shell has been fired and it has a kinetic energy x. It explodes in the air. Then the sum of kinetic energies of all the particles is:

  1. x

  2. more than x

  3. less than x

  4. zero


Correct Option: B
Explanation:

During explosion, the chemical energy gets converted into kinetic energy. So, after explosion sum of kinetic energies of all the particles is greater than the initial kinetic energy.

In a hydroelectric power plant more electrical power can be generated if water falls from a greater height because

  1. its temperature increases

  2. larger amount of potential energy is converted into kinetic energy

  3. the electricity content of water increases with height

  4. more water molecules dissociate into ions


Correct Option: B
Explanation:

Hydroelectric power plant uses the potential energy stored in water to generate electricity.
Therefore, if we increase the height of it's fall, energy stored will also increase and large amount of potential energy will be converted into kinetic energy, which means more electric energy will be generated.

Choose the incorrect statement regarding wind power.

  1. Energy  from moving wind is wind energy.

  2. The potential energy content of wind blowing at high altitudes is the source of wind power.

  3. Wind hitting at the blades of a windmill causes them to rotate. The rotation thus achieved can be utilized further.

  4. One possible method of utilising the energy of rotational motion of the blades of a windmill is to run the turbine of an electric generator.


Correct Option: B
Explanation:

The energy that we harness from a windmill is the wind energy due to moving air.
Here, option B is wrong as the wind energy does not depend on the altitude when we harness energy from the windmill.

Water falls from a height 500 m. What is the rise in  temperature of water at bottom if whole energy remains in the water?

  1. $0.96^0C$

  2. $1.02^oC$

  3. $1.17^oC$

  4. $0.23^oC$


Correct Option: C
Explanation:
Water is at height $(h) = 500 \,m$.
Potential energy $= mgh$
$= 1 \times 9.81 \times 500$
$= 4905 \,J/litre$

Specific heat of water $= 4180 \,J/kg \,k$.
So, $E = mc \Delta T$.
$4905 = 1 \times 4180 \times \Delta T$
$\Delta T = \dfrac{4905}{4180}$
$\Delta T = 1.16^o C$.

When we rub our hands, which of the following is true?

  1. Mechanical energy converted to heat energy.

  2. kinetic energy converted to heat energy.

  3. Heat energy converted to mechanical energy.

  4. Heat energy converted to kinetic energy.


Correct Option: A

A body off mass $5kg$ falls from a height of $30metre$. If its all mechanical energy is changed into heat, then heat produced will be 

  1. $ \text{350 cal} $

  2. $ \text{150 cal} $

  3. $ \text{60 cal} $

  4. $ \text{6 cal} $


Correct Option: A

a piece of lead falls from a height of $100m$ on a fixed non-conducting slab which brings it to rest. If the specific heat of lead is $30.6{\rm{ }}cal/kg{\,^ \circ }C,$, the increase in temperature of the slab immediately after collision is 

  1. ${6.72^ \circ }C$

  2. ${7.62^ \circ }C$

  3. ${5.62^ \circ }C$

  4. ${8.72^ \circ }C$


Correct Option: D

A metal ring of mass  2.1 kg and of 10 cm radius is revolving about its axis, Making 100/$\pi $ revoluation/s in the liquid is equal to 

  1. 100 cal

  2. 1000 cal

  3. 2100 cal

  4. 10 cal


Correct Option: A

The temperature inside and outside a refrigerator are $273\ K$ and $300\ K$ respectively Assuming that the refrigerator cycle is reversible, for every joule of work done, the heat delivered to the surrounding will be nearly

  1. $11\ J$

  2. $22\ J$

  3. $33\ J$

  4. $50\ J$


Correct Option: D

The height of the Niagara falls is $50$ metres, $(1 cal= 4.2 \mathrm\ { J }).$  Assume its mechanical energy can be completely converted into heat energy.

  1. Heat energy gained by each gram of water is $49 \times 10 ^ { 5 }\ \mathrm { cal }$

  2. Rise in temperature of water is $0.166^{ o }\ C/g$

  3. Rise in temperature of water is $0.12^{ o }\ C$

  4. Heal energy gained is $500\ joule/g$


Correct Option: C,D

The units of fore and length are made three times of their earlier values. Earlier the energy of a system was $81\ J$. What will be the energy of the same system in new units?

  1. $243$

  2. $729$

  3. $9$

  4. $None\ of\ the\ above$


Correct Option: B

When $1\ gm$. of water at $100^{\circ}C$ is converted into steam occupies $1671\ c.c.$ The amount of work done in converting water into steam is

  1. $167\ J$

  2. $180\ J$

  3. $184\ J$

  4. $2098\ J$


Correct Option: D

$1$ calorie is the heat required to increase the temperature of $1g$ of water by $1 ^ { \circ } \mathrm { C }$ from:

  1. $13.5 ^ { \circ } \mathrm { C } \text { to } 14.5 ^ { \circ } \mathrm { C } \text { at } 76 \mathrm { mm } \text { of } \mathrm { Hg }$

  2. $14.5 ^ { \circ } \mathrm { C } \text { to } 15.5 ^ { \circ } \mathrm { C } \text { at } 760 \mathrm { mm } \text { of } \mathrm { Hg }$

  3. $13.5 ^ { \circ } \mathrm { C } \text { to } 15.5 ^ { \circ } \mathrm { Cat } 76 \mathrm { mm } \text { of } \mathrm { Hg }$

  4. $15.5 ^ { \circ } \mathrm { C } \text { to } 16.5 ^ { \circ } \mathrm { C } \text { at } 700 \mathrm { mm } \text { of } \mathrm { Hg }$


Correct Option: A

If the amount of heat given to a system is $35\, J$ and the amount of work done on the system is $15\, J$, then the change in internal energy of the system is

  1. $- 50\, J$

  2. $20\, J$

  3. $30\, J$

  4. $50\, J$


Correct Option: D
Explanation:

Given,

$\Delta Q=+35J$
$\Delta W=-15J$
$\Delta U=?$
From law of thermodynamic,
$\Delta Q=\Delta U+\Delta W$
$\Delta U=\Delta Q-\Delta W$
$\Delta U=35-(-15)$
$\Delta U=35+15$
$\Delta U=50J$
The correct option is D. 

A geyser heats water flowing at the rate of 3.0 liters per minute from ${ 27 }^{ \circ  }C$ to ${ 77 }^{ \circ  }C$. If the geyser operates on a gas burner, the rate of consumption of the fuel if its heat of combustion is $4.0\times { 10 }^{ 4 }J/g$ per minute is

  1. $15.75g$

  2. $4 g$

  3. $0.3 g$

  4. $0.16 g$


Correct Option: A

A certain quantity of heat energy is given to a diatomic ideal gas which expands at constant pressure. The fraction of the heat energy that is converted into work is 

  1. $\dfrac 2 5$

  2. $\dfrac 2 7$

  3. $\dfrac 1 5$

  4. $\dfrac 5 7$


Correct Option: D
Explanation:

Supplied heat at constant pressure, 

$\Delta Q=nC _P \Delta T$
Change in internal energy,
$\Delta U=nC _V \Delta T$
ratio, $\dfrac{\Delta U}{\Delta Q}=\dfrac{nC _V \Delta T}{nC _P \Delta T}=\dfrac{C _V}{C _P}$. . . . . . . . .(1)
For diatomic ideal gas,
$C _P=\dfrac{7R}{2}\,  ,  C _V=\dfrac{5R}{2}$
From equation (1), we get
$\dfrac{\Delta U}{\Delta Q}=\dfrac{5R/2}{7R/2}=\dfrac{5}{7}$
$(5/7)^{th}$ part of heat supplied is used to increase internal energy.

A hammer of mass 1$\mathrm { kg }$ having speed of 50$\mathrm { m } / \mathrm { s }$ , hit a iron nail of mass 200$\mathrm { gm }$ . If specific heat of iron is 0.105 cal/gm'C and half the energy is converted into heat, the raise in temperature of nail is

  1. $7.1 ^ { \circ } C$

  2. $9.2 ^ { \circ } \mathrm { C }$

  3. $10.5 ^ { \circ } C$

  4. $12.1 ^ { \circ } \mathrm { C }$


Correct Option: A

In case of explosion of a bomb which of the following does not change?

  1. Chemical energy

  2. Total energy

  3. Kinetic energy

  4. Mechanical energy


Correct Option: B
Explanation:

The chemical energy possessed by the bomb after explosion converts into heat energy, sound energy, light energy i.e. into different forms of energy but remains conserved. Hence, total energy of bomb does not change, but kinetic and mechanical energy changes.

In the foregoing question, the amount of energy given to the system from A to B is:

  1. 50J

  2. 60J

  3. 30J

  4. 10J


Correct Option: A

The specific heat capacity of a metal at low temperautre (T) is given as $C _ { p } \left( k \sqrt { k } - 1 k g ^ { - 1 } \right) = 32 \left( \frac { T } { 400 } \right) ^ { 3 }$ A 100 gram vessel of this metal is to be cooled from $20 ^ { \circ } K$ to $4 ^ { \circ } \mathrm { K }$ by a special refrigerator operating at room temperature $\left( 27 ^ { \circ } \mathrm { C } \right) .$ The amount of work required to cool the vessel is:-

  1. equal to 0.002$\mathrm { kJ }$

  2. greater than 0.148$\mathrm { kJ }$

  3. between 0.148$\mathrm { kJ }$ and 0.028$\mathrm { kJ }$

  4. less than 0.028$\mathrm { kJ }$


Correct Option: A

An ideal gas heat engine operates in a Carnot's cycle between $227^{\circ}C$ and $127^{\circ}C$. It absorbs $6\times 10^{4} J$ at high temperature. The amount of heat converted into work is _____.

  1. $4.8\times 10^{4}J$

  2. $3.5\times 10^{4}J$

  3. $1.6\times 10^{4}J$

  4. $1.2\times 10^{4}J$


Correct Option: D

Work done by 100 calorie of heat is __________.

  1. 418.4 J

  2. 4.184 J

  3. 41.84 J

  4. None of these


Correct Option: A
Explanation:
For an isothermal expansion of an ideal gas, the change in internal energy is zero.

According to the first law of thermodynamics, 

Change in internal energy U = Q-W = 0

So, all the heat energy is utilized to do work. 

Q = W

We know that, one calorie is equal to 4.184 J

Therefore, Work done by 100 calorie of heat in an isothermal expansion of any ideal gas will be 4.184 * 100 =  418.4 Joule


A person of weight 60 kg wants to loose 5 kg by going up and down 10m high stairs. Assume he burns twice as much fat while going up than going down. If 1 kg of fat is burnt on expending 7000 kcal. How many times must he go up and down to reduce his 7 kg weight? (Take $  g=10 \mathrm{ms}^{-2} )  $

  1. $ 1.8 \times 10^{3} $ times

  2. $ 2.4 \times 10^{3} $ times

  3. $ 1.7 \times 10^{3} $ times

  4. $ 2.1 \times 10^{3} $ times


Correct Option: C
Explanation:
Energy used to go up $=mgh=60\times 10\times 10=6000\,J$

Energy used to come down $\dfrac{6000}{2}=3000\,J$

Energy used in one round trip $=9000\,J$

$1\,cal=4.5\,J$

$1\,J=\dfrac{1}{4.2\,cal}$

$9000\,J=\dfrac{9000}{4.2}=2142.85\,cal$

$7000\,kilo\,cal$ is required to burn $1\,kg$ mass

To reduce $5\,kg$ mass, energy required $=7000\times 5=35000\,kilo\,val$

Number of trip $=\dfrac{35000\times 1000}{2142.85}=1.7\times 10^{3}$

What is $\Delta E$  for a system that does 5 kcal of work by the surroundings when 3 kcal heat is absorbed by the system.  

  1. -2 kcal

  2. +2 kcal

  3. +8kcal

    • 7 kcal

Correct Option: C

A bullet of mass 10 gm moving with a speed of 20 m/s hits an ice block of mass 990 gm kept on a frictionless floor and gets stuck in it. The amount of ice that melts, if 50% of the lost kinetic energy goes to ice, will be 

  1. $0.003 g$

  2. $0.30 g$

  3. $0.0003 g$

  4. $3.0 g$


Correct Option: A

A steel ball of mass $5$ ${ g }$ is thrown downward with velocity $10$ ${ ms } ^ { - 1 }$ from height $19.5$ ${ m }$ . It penetrates sand by $50$ ${ cm }$ . The change in mechanical energy will be ( ${ g } = 10$ ${ ms } ^ { - 2 }$ )

  1. $1$ ${J}$

  2. $1.25$ ${J}$

  3. $1.5$ ${J}$

  4. $1.75$ ${J}$


Correct Option: B
Explanation:

$\begin{array}{l} The\, \, change\, \, in\, \, mechanic\, \, energy\, \, \Delta U=mg\left( { h+x } \right) +\frac { 1 }{ 2 } m{ v^{ 2 } } \ here\, \, m=5g=0.00\, 5kg\cdot h=19.5\, mx=50cm=0.5m,v=10\, m/s \ So,\, \Delta U=0.005\times 10919.5+0.5+\frac { 1 }{ 2 } \times 0.005\times { \left( { 10 } \right) ^{ 2 } }=0.005\times 10\times 20+\frac { 1 }{ 2 } \times 0.005\times 100=1.25J \end{array}$

Hence,
option $(B)$ is correct answer.

A block of ice falls from certain height and completely melts. If only 3/4th of the energy is absorbed by the block the height of fall should be

  1. 48.4 m

  2. 84.4m

  3. 88.4m

  4. 44.8m


Correct Option: D

A block of ice at 0 C whose mass is initially 50.0 kg slides along a horizontal surface starting at a speed of 5.38 m/s and finally coming of ice melted as a result of the friction between the block and the surface will be

  1. 2.16 g

  2. 4.0 g

  3. 1 g

  4. 50 g


Correct Option: A

An ice block is falling from a height. If $75\%$ of the block melts then $h = (g = 10\ ms^{-2})$.

  1. $10.2\ Km$

  2. $12.8\ Km$

  3. $25.2\ Km$

  4. $26.8\ Km$


Correct Option: A

A block of mass 500Kg has dimension $10 \times 5 \times 2m$. It is placed on a table with the largest surface in contract. The work that must be done to turn it an place it so that the smallest surface is in contact with the table  

  1. Zero

  2. 19600J

  3. 14700J

  4. 9800J


Correct Option: C

A lead ball moving with velocity v strikes a wall and stops. I 50% of its energy is converted into heat, then what will b the increase in temperature? (Specific heat of lead is s)

  1. $\dfrac { 2{ v }^{ 2 } }{ Js } $

  2. $\dfrac { { v }^{ 2 } }{ 4Js } $

  3. $\dfrac { { v }^{ 2 }s }{ J } $

  4. $\dfrac { { v }^{ 2 }s }{ 2J } $


Correct Option: B

In an energy recycling process, $x _ { g }$ of steam at $100 ^ { \circ } C$ becomes water at $100 ^ { \circ } \mathrm { C }$ which converts $\mathrm { Yg }$ of ice at $0 ^ { \circ } \mathrm { C }$ into water at $100 ^ { \circ } \mathrm { C }$ . The ratio XY will be

  1. $\dfrac { 1 } { 3 }$

  2. $\dfrac { 2 } { 3 }$

  3. $3$

  4. $2$


Correct Option: A

$4180 J$ of work raises the temperature of $1$ litre water through:-

  1. $1^oF$

  2. $10^oC$

  3. $1^oC$

  4. $273K$


Correct Option: C

The work done on the particle of mass m by a force $ \overrightarrow { F } =K\left[ \frac { X }{ \left( X^ 2+y^ 2 \right)^{1/2}  } \hat { i } +\frac { y }{ \left( X^ 2+y^ 2 \right)^{1/2}   } \hat { j }  \right]  $ (k being a constant of appropriate simensions), when the particle is taken from the point (a,0) to the point (0,a) along a circular path of radius a about the origin in the X-y plane 

  1. $ \frac {2k\pi}{a} $

  2. $ \frac {k\pi}{a} $

  3. $ \frac {k\pi}{2a} $

  4. 0


Correct Option: A

The maximum amount of work that can be done by extracting $1J$ of energy from a body at $127^oC$ with an environment at $27^oC$?

  1. $\dfrac{1}{8}J$

  2. $\dfrac{1}{4}J$

  3. $\dfrac{1}{2}J$

  4. $\dfrac{3}{4}J$


Correct Option: A

Which of the following energy conversions take place in a torch?

  1. electrical $\rightarrow$ chemical $\rightarrow$ light

  2. chemical $\rightarrow$ electrical $\rightarrow$ light

  3. electrical $\rightarrow$ light $\rightarrow$ chemical

  4. light $\rightarrow$ chemical $\rightarrow$ electrical


Correct Option: B
Explanation:

The chemicalenergy stored in batteries gets transformed into electrical energy through the wires. This then gets transformed into light energy that you see.

The glow worm produces light energy from

  1. Potential energy

  2. Nuclear fusion

  3. Electrical energy

  4. Chemical energy


Correct Option: D
Explanation:

Some organisms like the glow worm have chemicals in them, which produce light.

A fast moving motorbike mainly converts _______ energy to kinetic energy.

  1. chemical

  2. mechanical

  3. nuclear

  4. electrical


Correct Option: A
Explanation:

The chemical energy of the fuel is converted to kinetic energy using the engine of the bike.

A tube light converts electrical energy into heat energy

  1. True

  2. False


Correct Option: B
Explanation:

A tubelight converts electrical energy into light energy.

An electric heater is used by us to convert electrical energy to:

  1. heat energy

  2. light energy

  3. both a and b

  4. chemical energy


Correct Option: A
Explanation:

An electric heater is used to obtain heat energy. For light energy a bulb or other light sources are used.
An electric heater is used to convert electrical energy to heat energy.

A plant usually stores its carbohydrates in its fruits. This process also shows the conversion of  _______ energy to _______ energy.

  1. kinetic to potential

  2. mechanical to chemical

  3. solar to chemical

  4. none of these


Correct Option: C
Explanation:

Plant takes heat from the sun in form of solar energy and using photosynthesis process, this energy is converted to carbohydrates.

A Wind-mill converts mechanical energy to ________ energy

  1. chemical

  2. electrical

  3. solar

  4. potential


Correct Option: B
Explanation:

Wind power is generated by the force wind exerts on the blades of a turbine, causing the turbine's shaft to rotate at a speed of 10 to 20 revolutions per minute (rpm). The rotor shaft is connected to a generator that converts mechanical energy into electrical energy.

A cyclist free-wheels from the top of a hill, gathers speed going down the hill, apply his brakes and eventually came to rest at the bottom of the hill. Which one of the following energy changes take place?

  1. Potential to kinetic to heat energy

  2. Kinetic to potential to heat energy

  3. Chemical to heat to potential energy

  4. Kinetic to heat to chemical energy


Correct Option: A
Explanation:

Considering ground as zero potential
Initially $E = U + K = U + 0 = U$
Finally $E = U + K = 0 + 0 = 0$
So, initially it had some potential energy, it was converted to kinetic energy by gaining speed, it finally became zero so energy must have been lost as heat while applying brakes.

The temperature of water at the bottom of a large waterfall is generally higher than that of the water at the top, because

  1. the falling water absorbs heat from the sun

  2. the KE of the falling water is converted into heat

  3. the water at the bottom has greater PE

  4. rocks on the bed of the river give out heat


Correct Option: B
Explanation:

Water is slightly warmer at the bottom of a waterfall than at the top because the gravitational potential energy is converted first to kinetic energy of the falling water, and finally to heat energy as it comes to rest at the bottom.

The temperature of water at the bottom of a waterfall is higher than that ofthe water at the top, because

  1. falling water absorbs heat from the sun

  2. kinetic energy of the falling water is converted into heat

  3. water at the bottom has greater potential energy

  4. the rocks on the river bed give out heat


Correct Option: B
Explanation:

When water falls from top of a waterfall, it has a force of friction being exerted on it due to which some of its kinetic energy gets converted into heat energy.

Thus the temperature of water at the bottom of waterfall is higher than that at the top.

A pendulum rocks back and forth. In an ideal setting, this motion would go on perpetually without loss of mechanical energy. Realistically, if you held a pendulum up and made it go in motion, it would slow to a stop.
What is responsible for the pendulum gradually losing mechanical energy? Ignore the mass of the string holding the pendulum bob in motion.

  1. The work done by gravity

  2. The work done by tension

  3. The work done by air resistance

  4. The pendulum does not lose mechanical energy

  5. There is not enough information to determine the cause


Correct Option: C
Explanation:

The vibrations of the pendulum die after some time , it is because of the frictional force of air which opposes the motion of bob .So air resistance is responsible for the loss in mechanical energy .

The correct sequence of energy changes in hydroelectric power station is:

  1. Kinetic to potential to mechanical to electrical

  2. Potential to kinetic to mechanical to electrical

  3. Potential to electrical to mechanical

  4. Potential to electrical to kinetic to mechanical


Correct Option: A
Explanation:

First of all moving water is stored against a dam and then it is allowed to fall on turbine and then as turbine rotates it will produce electricity.

So sequence of energy conversion is 
Kinetic to potential to mechanical to electrical.
Hence option A is best possible.

Electric heater converts :

  1. electric energy into chemical energy

  2. chemical energy into electric energy

  3. heat energy into electric energy

  4. electric energy into heat energy


Correct Option: D
Explanation:

An electric heater is an electrical device that converts electric current to heat. The heating element inside every electric heater is an electrical resistor, and works on the principle of Joule heating: an electric current passing through a resistor will convert that electrical energy into heat energy.

The height of water in a dam reduces by $20  m$, which is used to generate electricity. The water further fell by $10  m$ into the tunnel to strike the turbine plates. If the volume of water is ${10}^{4}  {m}^{3}$, find the hydel energy generated. Assume all the potential energy of the water being converted into electricity. Take $g = 10  m{s}^{-2}$.

  1. 2000 MJ

  2. 200 MJ

  3. 1000 MJ

  4. 500 MJ


Correct Option: A
Explanation:

The potential energy of the stored water is converted into kinetic energy which is then converted into electrical energy.
The potential energy of water $= mgh$        ...... (1)
The volume of water $= 10000  {m}^{3}$.
The mass of water $=$ volume $\times$ density $= 10000 \times 1000 = {10}^{7}  kg$.
Also, the depth of water $= 20  m$.
$\therefore$ The height of CG of stored water $= 10  m$.
The total height through which water falls $= 20  m$.
Substituting it in (1), we get potential energy of water $= {10}^{7} \times 20 \times 10 = 2000  MJ$.

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